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 Peter Elsborg posted on Wednesday, August 26, 2020 - 4:47 am
Dear Mplus community.

I am doing an ESEM validation of an psychometric instrument.

I want to check for measurement invariance. I have a clustering variable and my items are categorical. Therefore I use want to test a unconstrained model against a scalar model.

However when I try to do so, the scalar model achieve better fit than the unconstrained (configural) model. How can this be?

Results are as follows:

agegroup gender level
chi-squaretest 467.747*** 266.665*** 469.153***

CFI config 0.961 0.968 0.957
CFI scalar 0.971 0.975 0.963
delta CFI -0.010 -0.007 -0.006
TLI config 0.956 0.963 0.951
TLI scalar 0.973 0.976 0.966
deltaTLI -0.017 -0.013 -0.015
RMSEA config 0.043 0.04 0.04
RMSEA scalar 0.033 0.032 0.033
delta RMSEA 0.010 0.008 0.007
 Bengt O. Muthen posted on Wednesday, August 26, 2020 - 3:42 pm
If you are using WLSMV, only the special difference testing can tell you how the models compare, not the chi-squares themselves. If this doesn't help, we need to see the full output of these runs to diagnose it - send to Support along with your license number.
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